Final answer:
The truth table for the statement (p—>~q) V (~p^q) is constructed by considering all possible combinations of truth values for p and q. There are 4 possible combinations, and the resulting truth values are F, T, T, T.
Step-by-step explanation:
To construct the truth table for the statement (p—>~q) V (~p^q), we need to consider all possible combinations of truth values for p and q. There are 4 possible combinations:
pq~qp—>~q~p~p^q(p—>~q) V (~p^q)TTFFFFFTFTTFFTFTFTTTTFFTTTFT
Where T represents true and F represents false.